Register to reply

What does H mean?!

by jaja1990
Tags: None
Share this thread:
jaja1990
#1
Feb21-12, 08:24 AM
P: 26
I have this question in my assignment paper:-

8. Sketch the graph of:
(a)
y = |2x − 2|;
(b)
y = 2H(x − 4)

(a) is obvious, but how do I sketch (b)? Does "H" stand for some specific constant?
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
JJacquelin
#2
Feb21-12, 09:10 AM
P: 756
Possibly, the Heaviside step function H(x)
http://mathworld.wolfram.com/HeavisideStepFunction.html
jaja1990
#3
Feb21-12, 10:10 AM
P: 26
The webpage in the link you've given says:-
The function is:-
0 when x < 0,
1/2 when x = 0,
1 when x > 0.
But here: http://simple.wikipedia.org/wiki/Heaviside_Function, defines the function as:-
1 when x => 0,
0 when x < 0.

To begin with, which should I follow?

JJacquelin
#4
Feb21-12, 10:23 AM
P: 756
What does H mean?!

I think that H(0)=0 correponds to an old definition remaining from history and that the standard definition is with H(0)=1/2.
Generally this is of no consequence in partical applications.
chiro
#5
Feb21-12, 11:00 PM
P: 4,572
Quote Quote by JJacquelin View Post
I think that H(0)=0 correponds to an old definition remaining from history and that the standard definition is with H(0)=1/2.
Generally this is of no consequence in partical applications.
If one wanted to use an approximation like a fourier series version, then it makes sense to define H(0) as 1/2 based on properties of fourier series when you have this kind of 'Gibbs' phenomenon.


Register to reply

Related Discussions
The more political thread besides Japan Earthquake: nuclear plants scientific one Nuclear Engineering 764
In binary can we have a value with deci centi mili or more lower valued prefix? Computers 14
Can one approximate an ether frame by analyzing superimposed rotating frames? Classical Physics 0
Difference between Identical , Equal , Equivalent Calculus & Beyond Homework 9